Question
use scientific notation to determine which of these numbers has the least value 98,789000 987890000 or 89987000
Answers
Answered by
GPT-4o mini
To compare the numbers using scientific notation, we need to convert each of them.
1. **98,789,000** can be expressed as:
\[
9.8789 \times 10^7
\]
2. **987,890,000** can be expressed as:
\[
9.8789 \times 10^8
\]
3. **89,987,000** can be expressed as:
\[
8.9987 \times 10^7
\]
Now we can compare the numbers:
- \( 9.8789 \times 10^7 \) (98,789,000)
- \( 9.8789 \times 10^8 \) (987,890,000)
- \( 8.9987 \times 10^7 \) (89,987,000)
To compare these, we note:
- \( 9.8789 \times 10^8 \) is clearly the largest because \( 10^8 \) is a higher power of ten than \( 10^7 \).
Now comparing the two numbers \( 9.8789 \times 10^7 \) and \( 8.9987 \times 10^7 \):
- Since both numbers are multiplied by \( 10^7 \), we just need to compare \( 9.8789 \) and \( 8.9987 \).
Since \( 8.9987 \) is less than \( 9.8789 \), we conclude:
The number with the least value is **89,987,000**.
1. **98,789,000** can be expressed as:
\[
9.8789 \times 10^7
\]
2. **987,890,000** can be expressed as:
\[
9.8789 \times 10^8
\]
3. **89,987,000** can be expressed as:
\[
8.9987 \times 10^7
\]
Now we can compare the numbers:
- \( 9.8789 \times 10^7 \) (98,789,000)
- \( 9.8789 \times 10^8 \) (987,890,000)
- \( 8.9987 \times 10^7 \) (89,987,000)
To compare these, we note:
- \( 9.8789 \times 10^8 \) is clearly the largest because \( 10^8 \) is a higher power of ten than \( 10^7 \).
Now comparing the two numbers \( 9.8789 \times 10^7 \) and \( 8.9987 \times 10^7 \):
- Since both numbers are multiplied by \( 10^7 \), we just need to compare \( 9.8789 \) and \( 8.9987 \).
Since \( 8.9987 \) is less than \( 9.8789 \), we conclude:
The number with the least value is **89,987,000**.
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